Overview

Module 3: Expressions and Equations

This module consolidates and expands upon students’ understanding of equivalent expressions, linear equations to solve unknown angle problems, and solving problems leading to inequalities. They interpret solutions within the context of problems. Students extend their sixth-grade study of geometric figures and the relationships between them as they apply their work with expressions and equations to solve problems involving area of a circle and composite area in the plane, as well as volume and surface area of right prisms.

Topic B: Solve Problems Using Expressions, Equations, and Inequalities

Topic C: Use Equations and Inequalities to Solve Geometry Problems

Advance Preparation

- Geometric Figures
- Nets for Three-Dimensional Figures (helpful when working with surface area of right prisms in lessons 25-26)

Module 4: Percent and Proportional Relationships

Students deepen their understanding of ratios and proportional relationships from Module 1 by solving a variety of percent problems using visual models/equations in early lessons and using calculators in later lessons. They convert between fractions, decimals, and percents to further develop a conceptual understanding of percent and use algebraic expressions and equations to solve multi-step percent problems. An initial focus on relating 100% to “the whole” serves as a foundation for students.

Topic B: Percent Problems Including more than One Whole

Topic C: Scale Drawings (Omitted for Quarter 3)

Topic D: Population, Mixture, and Counting Problems Involving Percents

Advanced Preparation

- Calculators
- Ratio Tables
- Tape Diagrams

Module 5: Statistics and Probability

Students begin their study of probability, learning how to interpret probabilities and how to compute probabilities in simple settings. They also learn how to estimate probabilities empirically. Additionally, students build on their knowledge of data distributions that they studied in Grade 6, compare data distributions of two or more populations, and are introduced to the idea of drawing informal inferences based on data from random samples.

Topic A: Calculating and Interpreting Probabilities

Topic B: Estimating Probabilities

Advanced Preparation

- Graphing Calculator (TI-83, TI-84)
- Dot Plots examples
- Histograms examples

Module Tip Sheet for Parents

These documents provide parents an opportunity to see what their children are learning in the current module including:

- Standards
- Key vocabulary
- Example Problems
- Pictorial Models
- Ideas for how to can help children at home
- Coherence of learning with past and future modules

Week 1: February 6

Notes:

Lesson 23 (E)

After completion of Exploratory Challenge, complete exercises from Problem Set for practice and application. Review fraction to decimal conversions.

Lesson 24 (E)

Builds on work completed from lesson 23; focus on calculating the maximum volume in given situations. Consider completing Problem Set #1-3 plus one more exercise from the remaining problems.

Lesson 25 (P)

Continue volume of right prisms; add on surface area. Complete the Opening Exercise, Exercise 1 (Fish Tank designs) and Problem Set #1. Finish with exit ticket. Consider assigning Exercise 2 (Design a Fish Tank) for a Problem of the Day for students who are ready to extend their learning.

Lesson 26 (P)

Culmination of work completed in lessons 22-25. Complete Opening Exercise and Problem Set #1. Finish with Exit ticket. Consider assigning Exercise 2 (Design a Feeder) for a Problem of the Day for students who are ready to extend their thinking.

Week 2: February 13

Assessment

End of Module assessment

Give before beginning Module 4.

Biweekly #1

Exit ticket from Lesson 3

Standards Addressed in Week's Lessons

7.RP.1

7.RP.2.c

7.RP.3

Notes:

Lesson 1 (P)

Use as a pre-assessment of what your students may or may not know about percents. Consider cutting out the Matching table used in the Opening Activity so students can sort the information to determine the pairings first then record their findings on the worksheet.

Lesson 2 (P)

This lesson focuses on the relationship, Part=Percent×Whole,and writing equations to problem solve. Consider saving the tape diagram for small group instruction where needed,

Lesson 3 (P)

If low on time, provide the part/whole rounds as homework or break this up into multiple days of 2-3 minute fluency throughout the module.

One additional day added for End of Module assessment.

Standards Assessed

EOM

7.EE.1

7.EE.2

7.G.4

7.G.5

7.G.6

Week 3: February 20

Notes:

Lesson 4 (P)

This lesson focuses on Quantity= Percent x Whole. Select exercises from Problem Set for practice; conclude with Exit Ticket.

Lesson 5 (P)

Utilizes double bar lines and mental math using factors of 100 to compute percents of a number.

Lesson 6 (P) Omit

Has been omitted because it combines the different types of percent problems introduced in the first five lessons. Consider using this lesson's components as homework or review where needed.

Lesson 7 (P)

In this lesson, students use algebraic equations to solve multi-step word problems involving markups and markdowns. Also introduces students to new finance terms (e.g., retail price, consumer, cost price, and wholesale price).

Week 4: February 27

Notes:

Lesson 8 (S)

There are two cases in which percent error is discussed in the seventh grade curriculum. The first case is when the exact value is known, and the second case is when the exact value is not known. The following definitions are used throughout this module as the teacher presents students with examples and exercises for both cases. Also utilizes absolute value.

Lesson 9 (P)

Utilize double bar lines and algebraic equations to investigate percent changes. Consider working through examples then practice with Problem Set.

Lesson 10 (P)

Provide adequate practice utilizing I=prt formula, stressing r written as a decimal and t given in years. Opportunity for fluency practice.

Lesson 11 (P)

Students have the opportunity to apply their knowledge through real world situations (e.g., school board budgets athletic team budgets).

Lesson 12-15: Omit

The lessons are not assessed in ANet A3.

Standards Addressed in Week's Lessons

7.RP.2.c

7.RP.3

7.EE.3

Week 5: March 6

Notes:

Lesson 16 (P)

Pre-create tape diagrams for students since lesson focuses on utilizing this method; connects to algebraic equations. Consider pairing students up to complete exercises.

Lesson 17 (P)

Consider simulating the orange mixture problem from the Opening Exercise so that students make visual connections between the actual liquids and their calculations in the chart.

Lesson 18 (P)

No prior knowledge of probability formulas are needed, percents are used to solve the problems in this lesson.

An additional day added this week for End of Module assessment. Assessment split up into Day One (Calculator Active) and Day Two (Calculator Inactive).

Standards Addressed in Week's Lessons

7.RP.2.c

7.RP.3

7.EE.3

Standards Assessed

EOM

7.EE.3

7.EE.4

7.RP.1

7.RP.2

7.RP.3

7.G.1

Week 6: March 13

Module

Topic

Notes:

Lesson 1 (P)

Introduction to probability; stress that probability is a number from 0 to 1, make predictions for outcomes to place on the probability scale and discuss rationale for placement.

Lessons 2/3: Combine (P)

These lessons have been combined due to similar objectives. Complete all examples and exercises form lesson 3 and Problem Set and Exit Ticket from lesson 2. Probability questions on graphs will be seen again in lesson 5.

Lesson 4 (P)

Create anchor chart of formulas from Lesson Summary. Practice includes exercises 1-4 and concludes with Exit Ticket. Consider Problem Set for homework.

Lesson 5 (P)

Review adding fractions with uncommon denominators for students who may need it.

Assessment

Biweekly #3

Exit ticket from Lesson 5

Standards Addressed in Week's Lessons

7.SP.6

7.SP.7.a

7.SP.7.b

7.SP.8.a

Week 7: March 20

Module

Topic

Notes:

Lesson 6 (P)

In addition to examples in lesson, bring in other situations that could be represented by tree diagrams (e.g., making pizzas, ice cream sundaes, outfit combinations). Create Pyramidial die in advance of lesson.

Lesson 7 (P)

Deliberately similar to lesson 6, build in components of student misconception from the previous day to ensure mastery by end of lesson.

Only two lessons in consideration of the PARCC exam.

Assessment

PARCC

Standards Addressed in Week's Lessons

7.SP.6

7.SP.7.a

7.SP.7.b

7.SP.8.a

7.SP.8.b

Week 8: March 27

Module

Topic

Notes:

Lesson 8 (P)

Stress that Relative Frequency is an ongoing calculation, it requires students to keep accurate record of each outcome. Consider a focus on one outcome at a time to avoid confusion (re: heads first then tails).

Lesson 9 (E)

Complete the experiment on your own before presenting it to your students. Read the preparation for students to record their results carefully; provide supportive materials to students who you feel may struggle with assembling their own charts

Lessons 10/11: Combine (P)

These lessons have been combined due to similar objectives. For your lesson, pre-select simulations for students to complete. Complete simulations prior to class time. Provide tabulation sheets for students to record findings. Consider using Lesson 10 exit ticket to check for student understanding.

One additional day is provided for ANet testing.

Assessment

ANet

Standards Addressed in Week's Lessons

7.SP.1

7.SP.8.c

Standards Assessed

ANET

Major

7.EE.2

7.EE.3

7.EE.4a,b

7.RP.3

Supporting

7.SP.5

7.SP.6

7.SP.7a,b

7.SP.8a,b,c

7.G.

Review

7.NS.3

Week 9: April 3

Notes:

Lesson 12 (P)

Presents opportunities for students to complete experiments. Consider splitting your class in half to distribute so simulations from example 2 (exercises 3 and 4-5) can run concurrently. Conclude class time with student group share out their findings.

Lesson 13 (P)

Read preparation notes closely prior to lesson. Review student discourse protocol/routines and procedures with students at beginning of lesson.

Lesson 14 (P)

Prepare Handout and mean table prior to class. Connect discussion on random samples with lesson 13 discussion and findings.